On September $6,$ Irene Westing purchased one bond of Mick

Corporation at $96\mathrm{.}75\%.$ The bond pays$10\mathrm{.}5\%$interest on

June $1$ and December $1.$ The stockbroker told Irene that she would

have to pay the accrued interest and the market price of the bond

and a $$5$ brokerage fee.

What was the total purchase price for Irene? Assume a $360-$day year

$($each month is $30$ days$)$ in calculating the accrued interest.

$($Hint:$$Final cost $=$ Cost of bond $+$ Accrued interest $+$

Brokerage fee. Calculate time for accrued

interest.$)($Round your answer to the nearest

cent.$)$

Total purchase price

$$$$$